3663506251120 has 160 divisors (see below), whose sum is σ = 9119916288000. Its totient is φ = 1364634086400.

The previous prime is 3663506251091. The next prime is 3663506251129. The reversal of 3663506251120 is 211526053663.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663506251129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21253441 + ... + 21425119.

It is an arithmetic number, because the mean of its divisors is an integer number (56999476800).

Almost surely, 2^{3663506251120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3663506251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559958144000).

3663506251120 is an abundant number, since it is smaller than the sum of its proper divisors (5456410036880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3663506251120 is a wasteful number, since it uses less digits than its factorization.

3663506251120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171951 (or 171945 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 3663506251120 in words is "three trillion, six hundred sixty-three billion, five hundred six million, two hundred fifty-one thousand, one hundred twenty".